My suggestions for you given your specs:
1. Robotics and automation ( what's cheaper than a Programmer in India or a factory worker in China ? ...a Robot in Australia)
2. Environmental Science
3.
A degree in Medical science is not the same as a degree in medicine. Many grads of Medical Science are stuck in low paying pathology lab jobs( blood, urine, tissue, faeces testing ) As well many people (try) to use Med Sci as a stepping stone into Medicine...Most don't make it ...... Make sure...
Radiography is a 3-4 year degree. Radiology requires a Medicine degree ( 6 years ) + Work Experience + post grad studies...
Detail explanation about differences between Radiology and Radiography degree courses here
One that you like and can get a job and pay you $$$...sounds like you're not sure what you want to do..have a look here...a guide to choosing a degree course
it is the application of concepts discovered in natural sciences such as Physics, Chemistry, Biology, Geology. Engineering is also know as Applied Science.
Have a look here for a long list of various disciplines ( branches ) in Engineering
In any field of engineering, an engineer 1) analyses a physical problem 2) identifies the constraints 3) identifies the resources availabe 4)designs a system or product that solves that problem
Have a look at Engineering courses at Australian universities for more specific examples
Computer Science degree has LESS math than Computer Engineering or Electronic Engineering...ALL Engineering has 50-70% math content
There are Business and IT combined 4 year bachelor courses..... look around...I think UWS has something like that
It is rather niche area....and if you want to get out of Games and work in normal suftware development ( say a bank etc ) it might be hard to switch later on...but not impossible...may need some MS certification etc
Best degree for software development ( Programming / coding ) is Bachelor of Computer Science. If you plan to work in Network or Tech Support / Winodows or UNIX System Administration ...a Bachelor of Information Systems is nice to have...but in most cases certification or TAFE diploma is all...
Goodness sake..if you cant get into USyd for Computer Science...do remember there's heaps other universities in NSW offering a Computer Science or IT degree